TY - JOUR AU - Zafar, F. AU - Yasmin, N. AU - Kutbi, M. A. AU - Zeshan, M. PY - 2016 TI - Construction of Tri-parametric derivative free fourth order with and without memory iterative method JO - Journal of Nonlinear Sciences and Applications SP - 1410--1423 VL - 9 IS - 4 AB - We have given two general methods of converting with derivative two-step methods to without derivative two-step methods. It can also be observed that this conversion not only retain the optimal order of convergence of the two-step methods but the resulting derivative free families of iterative methods are also extendable to with memory class. The with-memory methods show greater acceleration in the order of convergence. In this way, order of convergence is accelerated from 4 to 7.53 at the most. An extensive comparison of our methods is done with the recent methods of respective domain. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.04.01 DO - 10.22436/jnsa.009.04.01 ID - Zafar2016 ER - TY - JOUR TI - Low complexity root finding iteration functions with no derivatives of any order of convergence AU - A. Cordero AU - J. R. Torregrosa JO - J. Comput. Appl. Math. PY - 2015 DA - 2015// VL - 275 ID - Cordero2015 ER - TY - JOUR TI - Analytical and numerical treatment of Jungck-Type iterative schemes AU - A. R. Khan AU - V. Kumar AU - N. Hussain JO - Appl. Math. Comput. PY - 2014 DA - 2014// VL - 231 ID - Khan2014 ER - TY - JOUR TI - A family of fourth order methods for non-linear equations AU - R. F. King JO - SIAM J. Numer. Anal. PY - 1973 DA - 1973// VL - 10 ID - King 1973 ER - TY - JOUR TI - Optimal order of one point and multipoint iteration AU - H. T. Kung AU - J. F. Traub JO - J. Assoc. Compute. Math. PY - 1974 DA - 1974// VL - 21 ID - Kung1974 ER - TY - JOUR TI - On the construction of some tri-parametric iterative methods with memory AU - T. Lotfi AU - F. Soleymani AU - M. Ghorbanzadeh AU - P. Assari JO - Numer. Algor. PY - 2015 DA - 2015// VL - 2015 ID - Lotfi2015 ER - TY - BOOK TI - Iterative Solutions of Nonlinear Equations in Several Variables AU - J. M. Ortega AU - W. G. Rheinboldt PB - Academic Press PY - 1970 DA - 1970// CY - New York ID - Ortega1970 ER - TY - JOUR TI - Several iterative methods with memory using self accelerator AU - F. Soleymani AU - T. Lotfi AU - E. Tanakli AU - F. K. Haghani JO - Appl. Math. Comput. PY - 2015 DA - 2015// VL - 254 ID - Soleymani2015 ER - TY - BOOK TI - Iterative Methods for the Solution of Equations AU - J. F. Traub PB - Prentice Hall, New York PY - 1964 DA - 1964// CY - USA ID - Traub 1964 ER - TY - JOUR TI - Efficient two-step derivative-free iterative methods with memory and their dynamics AU - X. Wang AU - T. Zhang AU - Y. Qin JO - Int. J. Comp. Math. PY - 2015 DA - 2015// VL - 2015 ID - Wang2015 ER - TY - JOUR TI - Optimal sixteenth order convergent method based on Quasi-Hermite interpolation for computing roots AU - F. Zafar AU - N. Hussain AU - Z. Fatimah AU - A. Kharal JO - Sci. World J. PY - 2014 DA - 2014// VL - 2014 ID - Zafar2014 ER -